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106543112 = 23138531201
BaseRepresentation
bin1100101100110…
…11100000001000
321102110221200012
412112123200020
5204233334422
614323331052
72432413214
oct626334010
9242427605
10106543112
1155160465
122b820a88
13190c4a80
1410215944
1595484e2
hex659b808

106543112 has 32 divisors (see below), whose sum is σ = 215566680. Its totient is φ = 49075200.

The previous prime is 106543109. The next prime is 106543123. The reversal of 106543112 is 211345601.

It can be written as a sum of positive squares in 4 ways, for example, as 11792356 + 94750756 = 3434^2 + 9734^2 .

It is a super-2 number, since 2×1065431122 = 22702869429289088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88112 + ... + 89312.

Almost surely, 2106543112 is an apocalyptic number.

It is an amenable number.

106543112 is an abundant number, since it is smaller than the sum of its proper divisors (109023568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106543112 is a wasteful number, since it uses less digits than its factorization.

106543112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 106543112 is about 10321.9722921542. The cubic root of 106543112 is about 474.0692570323.

Adding to 106543112 its reverse (211345601), we get a palindrome (317888713).

The spelling of 106543112 in words is "one hundred six million, five hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 853 1201 1706 2402 3412 4804 6824 9608 11089 15613 22178 31226 44356 62452 88712 124904 1024453 2048906 4097812 8195624 13317889 26635778 53271556 106543112